n=9 R=150.0: 11967 reachable points (291155 nodes); types: A0:5639, A1:1596, A2:886, A3:682, A4:682, A5:886, A6:1596   [11.6s]
Lemma 1: K(gamma_B) == type of Def. 2.1 (mod n-2) for 11967 points: failures 0 (non-integer K: 0)   [32.0s]
Descent (Lemma 4b) + invariance of the type under tau_k, mu, rho (Thm 1a): 11967 points, 83203 twist steps (max 79 per point; 38783 landed in the neighbouring corner), every step: shorter, reachable, same type; end = diagonal X_0X_(k+1) with k = type: failures 0   [38.0s]
Conj 2.6: 85963 instances (point, l, eps) with both points inside the disc: failures 0; Conj 2.7 (exact length ratio) on the same pairs: failures 0; 69624 instances with the parallel point outside the disc
Conj 2.6/2.7 by exact ray tracing for all points with |B| <= 60.0: 24755 instances, no short trajectory in the predicted direction within 12|B|+5: 0, type failures 0, length-ratio failures 0   [66.8s]
pairs (u,v), |u|,|v| <= 80.0, det(u,v) = sin(2pi/n) exactly: 2729   [66.9s]
   (type u, type v) distribution: {(0, 0): 919, (0, 6): 905, (1, 0): 905}; pairs outside the three classes of Step A: 0
Conj 2.3: reachable n-gons found: 919; with vertex types != (A0,A1,...,A(n-3),A0): 0
   Corollary 3.1 (pair of type (A0,A0) <=> spans a reachable n-gon): failures 0; Theorem 3 (v_1,v_2,v_(n-2),v_(n-1) reachable => reachable n-gon): failures 0; vertices outside the disc decided by exact ray tracing: 11878   [128.4s]
exact fallbacks 260996, mp calls 0
